Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/366, 9673/6086 quickly i.e. 406266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/366, 9673/6086 is 406266.
LCM(84/366, 9673/6086) = 406266
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/366,9673/6086
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 84,9673
Least Common Multiple of Numerators i.e. LCM of 84,9673 is 812532.
GCF of Denominators means GCF of 366,6086 as per the given fractions.
GCF of 366,6086 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,9673
Given numbers has no common factors except 1. So, there LCM is their product i.e 812532
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 84,9673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,9673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,9673) x common factors =1 x 1 = 1
LCM(84,9673) = ( 84 × 9673 ) / 1
LCM(84,9673) = 812532 / 1
LCM(84,9673) = 812532
Lets's calculate GCF of 366,6086
2 | 366, 6086 |
183, 3043 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 812532/2
Therefore the LCM of Fractions 84/366,9673/6086 is 406266
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 6086
List of positive integer factors of 6086 that divides 6086 without a remainder.
1,2,17,34,179,358,3043,6086
Greatest Common Factor
We found the factors 366,6086 . The biggest common factor number is the GCF number.
So the greatest common factor 366,6086 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 84/366, 9673/6086?
Answer: LCM of Numerators as per given numbers 84/366, 9673/6086 is
LCM of Numerators i.e. for 84,9673 is 812532
GCF of denominators i.e. for 366,6086 is 2.
Thus, LCM of Fractions is 406266.Finally, LCM of Fractions for 84/366, 9673/6086 is 406266.